A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator

Details A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator

1998-06-18

arxiv.org/abs/math-ph/9806012v2

Adv.Theor.Math.Phys.2:719-731,1998

Physics

Mathematical Physics

Revised version. 14 pages, Latex2e, no figures. Some typos on p.3 corrected and journal ref added

Scientific paper

We give a proof of the Lieb-Thirring inequality in the critical case $d=1$,
$\gamma= 1/2$, which yields the best possible constant.

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